Pith Number

pith:DJUE3AEO

pith:2018:DJUE3AEOI4SVTSA4XUWUKEZVSI

not attested not anchored not stored refs pending

An $\ell-p$ switch trick to obtain a new elementary proof of a criterion for arithmetic equivalence

Guillermo Mantilla-Soler, Tristram Bogart

arxiv:1807.05897 v2 · 2018-07-16 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJUE3AEOI4SVTSA4XUWUKEZVSI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:07:21.779615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a684d808e472559c81cbd2d451335920134c35536b1c6f5565a6bf336bf0832

Aliases

arxiv: 1807.05897 · arxiv_version: 1807.05897v2 · doi: 10.48550/arxiv.1807.05897 · pith_short_12: DJUE3AEOI4SV · pith_short_16: DJUE3AEOI4SVTSA4 · pith_short_8: DJUE3AEO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DJUE3AEOI4SVTSA4XUWUKEZVSI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1a684d808e472559c81cbd2d451335920134c35536b1c6f5565a6bf336bf0832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac292ad590da92a3a69d19083e56884ab4b70248cac76642fc95cbcecd08ccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-16T14:46:31Z",
    "title_canon_sha256": "8c21ac467f1e905831f90c841bd2f3e574ba4819e6e873bb8d92389071628376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05897",
    "kind": "arxiv",
    "version": 2
  }
}